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Minimum aberration \((S^2)S^{n-k}\) designs. (English) Zbl 0967.62056
Summary: This paper extends the \(4^m2^n\) minimum aberration designs (MA designs) of C.F.J. Wu and R. Zhang [Biometrika 80, No. 1, 203-209 (1993; Zbl 0769.62058)] to the case of \((S^2)S^{n-k}\), where \(S\) is any prime or prime power. Some basic properties of \((S^2)S^{n-k}\) MA designs, including the relations with \(S^{n-k}\) MA designs, are discussed. The \((9)3^{n-k}\) MA designs with 27 runs and \((16)4^{n-k}\) MA designs with 64 runs are tabulated, and some \((4)2^{n-k}\) MA designs are constructed using the above relations.

MSC:
62K15 Factorial statistical designs
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